5 papers
Approximate factorization properties for operator systems
Roy Araiza, Larissa Kroell, Travis Russell +1
We show that many of the standard nuclearity properties considered in the literature for the hierarchy of operator system tensor products can be expressed as approximate factorizat…
Operator Systems Generated by Projections
Roy Araiza, Travis Russell
We construct a family of operator systems and -AOU spaces generated by a finite number of projections satisfying a set of linear relations. This family is universal in the sense…
Products and factorization in operator systems
Adam Dor-On, Travis B. Russell
We study unital operator spaces endowed with a partially defined product. We give a matrix-norm characterization of such products that allows for a representation theorem where the…
Operator system characterizations of SIC-POVMs and mutually unbiased bases
Travis B. Russell
We show that a symmetric informationally-complete positive operator-valued measure exists in a given dimension if and only if there exists a -dimensional operator system s…
Real operator systems
David P. Blecher, Travis B. Russell
Operator systems are the unital self-adjoint subspaces of the bounded operators on a Hilbert space. Complex operator systems are an important category containing the C*-algebras an…